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Finding the Fourth Proportional to 594.82, 820.83 and 420.40

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Solution

The fourth proportional to 594.82, 820.83 and 420.40 is: 580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.82 : 820.83 = 420.40 : x
  2. Step 2: Convert to fraction form
    594.82/820.83 = 420.40/x
  3. Step 3: Cross multiply
    594.82x = 820.83 × 420.40
  4. Step 4: Simplify right side
    594.82x = 345,076.93
  5. Step 5: Solve for x
    x = 345,076.93/594.82
  6. Step 6: Final answer
    x = 580.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.